Lesson 1

Are You Ready?

 

Use the sliders in Slope - Activity A to answer the following questions.

 

Screenshot reprinted with permission of ExploreLearning

1. The red dot’s coordinates are (−2, 5) and the blue dot’s coordinates are (−6,−1).
   
   
   1. What is the rise?
   2. What is the run?
   3. What is the slope?

   Answer
   
   

2. The red dot’s coordinates are (−2, 5) and the blue dot’s coordinates are (6, −1).
   
   
   1. What is the rise?
   2. What is the run?
   3. What is the slope?
   Answer
   
   
3. The red dot’s coordinates are (−2, 5) and the blue dot’s coordinates are (6, 5).
   
   
   1. What is the rise?
   2. What is the run?
   3. What is the slope?
   Answer
   
   
4. The red dot’s coordinates are (−2, 5) and the blue dot’s coordinates are (−2,−1).
   
   
   1. What is the rise?
   2. What is the run?
   3. What is the slope?
   Answer

The Pythagorean theorem involves the relationship among the sides of right triangles. Do you remember the terms associated with the sides and angles of a right triangle? Do you remember the relationships among the sides and among the angles?

 

Use this diagram to answer the following questions.

 

5. Which two sides are the legs of Answer
   
   
6. What is the longest side of a right triangle called? Which side is it in the right triangle in the diagram? Answer
   
   
7. The statement of the Pythagorean theorem is shown inside the triangle in the diagram. Explain what the statement means. Answer
   
   
8. What is the sum of the measures of all three angles of Answer
   
   
9. What is the sum of the two acute angles? How do you know? Answer
   
   
10. What special term is used to describe two angles that add up to 90°? Answer
    
    
11. What is the slope of the hypotenuse? Answer

If you answered the Are You Ready? questions without problems, move on to Discover.

 

If you found the Are You Ready? questions to be difficult, complete Refresher to review these topics.